Search a number
-
+
190659396900 = 223527319113863
BaseRepresentation
bin1011000110010000101…
…1111000010100100100
3200020010101021212212110
42301210023320110210
511110432301200100
6223330540321020
716526501064000
oct2614413702444
9606111255773
10190659396900
1173949293905
1230b4b543170
1314c96125bab
149329767700
154e5d418250
hex2c642f8524

190659396900 has 576 divisors, whose sum is σ = 683956224000. Its totient is φ = 40872867840.

The previous prime is 190659396887. The next prime is 190659396929. The reversal of 190659396900 is 9693956091.

It is a super-2 number, since 2×1906593969002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 220925869 + ... + 220926731.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424000).

Almost surely, 2190659396900 is an apocalyptic number.

190659396900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190659396900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341978112000).

190659396900 is an abundant number, since it is smaller than the sum of its proper divisors (493296827100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190659396900 is a wasteful number, since it uses less digits than its factorization.

190659396900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 3542940, while the sum is 57.

The spelling of 190659396900 in words is "one hundred ninety billion, six hundred fifty-nine million, three hundred ninety-six thousand, nine hundred".